Fundamental solutions for micropolar fluids

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Fundamental solutions for micropolar fluids

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Title: Fundamental solutions for micropolar fluids
Author: Shu, Jian Jun; Lee, Jenn Shiun
Copyright year: 2007
Abstract: New fundamental solutions for micropolar fluids are derived in explicit form for two- and three-dimensional steady unbounded Stokes and Oseen flows due to a point force and a point couple, including the two-dimensional micropolar Stokeslet, the two- and three-dimensional micropolar Stokes couplet, the three-dimensional micropolar Oseenlet, and the three-dimensional micropolar Oseen couplet. These fundamental solutions do not exist in Newtonian flow due to the absence of microrotation velocity field. The flow due to these singularities is useful for understanding and studying microscale flows. As an application, the drag coefficients for a solid sphere or a circular cylinder that translates in a low-Reynolds-number micropolar flow are determined and compared with those corresponding to Newtonian flow. The drag coefficients in a micropolar fluid are greater than those in a Newtonian fluid.
Subject: DRNTU::Engineering::Mechanical engineering::Fluid mechanics.
Type: Journal Article
Series/ Journal Title: Journal of engineering mathematics
School: School of Mechanical and Aerospace Engineering
Rights: © 2007 Springer. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Engineering Mathematics, Springer. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1007/s10665-007-9160-8].
Version: Accepted version

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